Extractions: Calculus problems with detailed, solutions. It's calculus done the old-fashioned way - one problem at a time, one easy-to-follow step at a time, with problems ranging in difficulty from easy to challenging. Also available are scanned solutions to problems in differential integral and multi-variable calculus and series. Excerpts from "How To Ace Calculus"

Calculus - Wikipedia, The Free Encyclopedia calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics that includes the study of limits, derivatives, integrals, http://en.wikipedia.org/wiki/Calculus

Extractions: partial fractions Calculus Latin calculus , a small stone used for counting) is a branch of mathematics that includes the study of limits derivatives integrals , and infinite series , and constitutes a major part of modern university education. Historically, it was sometimes referred to as "the calculus of infinitesimals", but that usage is seldom seen today. Calculus has widespread applications in science and engineering and is used to solve complicated problems for which algebra alone is insufficient. Calculus builds on algebra trigonometry , and analytic geometry and includes two major branches, differential calculus and integral calculus , that are related by the fundamental theorem of calculus . In more advanced mathematics, calculus is usually called analysis and is defined as the study of functions More generally

S.O.S. Math - Calculus Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are http://www.sosmath.com/calculus/calculus.html

Extractions: Calculus-Help.com is, and always will be, a free resource. If you'd like to make a (non tax-deductible) donation to help this web site continue using its super powers for good, please click here . (If you have Windows XP SP2, your browser may block the page and ask you to allow ActiveX controls; it's perfectly safe to do so.)

Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plugins are needed to view some of the pages. http://archives.math.utk.edu/visual.calculus/

Extractions: var wtl_loc = document.URL.indexOf('https:')==0?'https://a248.e.akamai.net/v/248/2120/1d/download.akamai.com/crs/lgsitewise.js':'http://crs.akamai.com/crs/lgsitewise.js'; document.write(""); MIT OpenCourseWare MIT OCW Supplementary Resources OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press , the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide

Extractions: (animated GIF version) Douglas N. Arnold These are excerpts from a collection of graphical demonstrations I developed for first year calculus. Those interested in higher math may also want to visit my page of graphics for complex analysis . This page is on the list of the most frequently linked math pages according to MathSearch. Viewing instructions. The animations on this page use the animated GIF format. There is also a Java version of this page . The Java animator allows you to start and stop the animation, advance through the frames manually, and control the speed. Also the animation is a bit smoother, and the frames shuttle (first to last and then backward to first, etc.), which is a bit nicer. Unfortunately, the Java versions of the animation usually take much more time to load, and the Java animator has been know to crash browsers, especially on machines without much memory. An older version of this page using the MPEG animation format is available, but no longer actively maintained, and so not recommended. This animation expands upon the classic calculus diagram above. The diagram illustrates the local accuracy of the tangent line approximation to a smooth curve, orotherwise statedthe closeness of the differential of a function to the difference of function values due to a small increment of the independent variable. (In the diagram the increment of the independent variable is shown in green, the differentiali.e., the product of the derivative and the incrementin red, and the difference of function values as the red segment plus the yellow segment. The point is that if the green segment is small, the yellow segment is

Limits The Rectangle Approximation Method The Fundamental Theorem of calculus Problem of Area Minimum value of the integral of a function http://www.ies.co.jp/math/products/calc/menu.html

Calculus On The Web An internet tutoring utility for learning and practicing calculus. COW gives the student or interested user the opportunity to learn and practice problems. http://cow.math.temple.edu/

Math Forum: Calculus The best Internet resources for calculus classroom materials, software, Internet projects, and public forums for discussion. http://mathforum.org/calculus/calculus.html

Calculus History The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/The_rise_of_calculus.html

Extractions: Version for printing The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. To the Greeks numbers were ratios of integers so the number line had "holes" in it. They got round this difficulty by using lengths, areas and volumes in addition to numbers for, to the Greeks, not all lengths were numbers. Zeno of Elea , about 450 BC, gave a number of problems which were based on the infinite. For example he argued that motion is impossible:- If a body moves from A to B then before it reaches B it passes through the mid-point, say B of AB. Now to move to B it must first reach the mid-point B of AB . Continue this argument to see that A must move through an infinite number of distances and so cannot move. Leucippus Democritus and Antiphon all made contributions to the Greek method of exhaustion which was put on a scientific basis by Eudoxus about 370 BC. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more of the required area. However Archimedes , around 225 BC, made one of the most significant of the Greek contributions. His first important advance was to show that the area of a segment of a parabola is

Calculus -- From Wolfram MathWorld The calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis) is the branch of mathematics studying the http://mathworld.wolfram.com/Calculus.html

Extractions: Calculus In general, "a" calculus is an abstract theory developed in a purely formal way. "The" calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis ) is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area , and volume of objects. The calculus is sometimes divided into differential and integral calculus , concerned with derivatives and integrals respectively. While ideas related to calculus had been known for some time (Archimedes' method of exhaustion was a form of calculus), it was not until the independent work of Newton and Leibniz that the modern elegant tools and ideas of calculus were developed. Even so, many years elapsed until the subject was put on a mathematically rigorous footing by mathematicians such as Weierstrass. SEE ALSO: Arc Length Area Calculus of Variations Change of Variables Theorem ... Volume REFERENCES: Anton, H.

Extractions: last update 1-Mar-2007 IMPORTANT VIEWING NOTE: To properly view these pages, open your view port out to at least->>>>here If you can't see the word " here " in the line above, place your mouse-cursor on the right-hand edge of the frame, hold the left mouse button, and drag the right-hand edge of the screen to the right until you can see it. See browser notes for more details. click here Section Index 1) Number Systems Online Calculator From B. Cherkas at CUNY: Please note that Karl's Calculus Tutor is still a work in progress. Expect a new unit to come on line every month or so. Currently being drafted: Applications of Integration (Areas) prependix a: Math Notation over the Web prependix b: Why Bother to Learn Calculus prependix c: Stuff You Should Already Know prependix d: Study Tips ... Karl's Calculus Forum where you can discuss calculus topics with other visitors to Karl's Calculus Tutor Greetings and Welcome 1 Number Systems and Their Properties 1.0 Preliminaries

Calculus Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson s calculus Made Easy, but in less detail than in http://www.lightandmatter.com/calc/

Extractions: This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy , but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals Numerical examples are given using the open-source computer algebra system Yacas , and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results. Download in Adobe Acrobat format - free Buy a printed copy - $7.25 Readers interested in the infinitesimal approach may also want to look at two other online books: Keisler , and A Brief Introduction to Infinitesimal Calculus by Stroyan.

QuickMath Automatic Math Solutions The calculus section of QuickMath allows you to differentiate and calculus is a vast topic, and it forms the basis for much of modern mathematics. http://www.quickmath.com/www02/pages/modules/calculus/index.shtml

Extractions: google_ad_client = "pub-8651647546713104"; google_ad_width = 120; google_ad_height = 600; google_ad_format = "120x600_as"; google_ad_type = "text"; google_ad_channel ="7739705934"; google_color_border = "336699"; google_color_bg = "FFFFFF"; google_color_link = "0000FF"; google_color_url = "008000"; google_color_text = "000000"; The calculus section of QuickMath allows you to differentiate and integrate almost any mathematical expression. Calculus is a vast topic, and it forms the basis for much of modern mathematics. The two branches of calculus are differential calculus and integral calculus. Differential calculus is the study of rates of change of functions. At school, you are introduced to differential calculus by learning how to find the derivative of a function in order to determine the slope of the graph of that function at any point. Integral calculus is often introduced in school in terms of finding primitive functions (indefinite integrals) and finding the area under a curve (definite integrals). The differentiate command allows you to find the derivative of an expression with respect to any variable. In the advanced section, you also have the option of specifying arbitrary functional dependencies within your expression and finding higher order derivatives. The differentiate command knows all the rules of differential calculus, including the product rule, the quotient rule and the chain rule.